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Javier works in a photo lab and needs to make a reduced copy of a photograph that is 8 inches long. The customer wants the copy to have a length of 4.5 inches. Each time he presses the reduce button on the copier, the copy is reduced by 12%. Javier and his boss had an argument, because Javier claimed that pressing the button 5 times would be enough to fulfill the customer's request. His boss said that pressing the button 5 times would result in a length less than the desired 4.5 inches. Which of the following conclusions can be made?

Respuesta :

Answer:

Javier should not press the button five time.

Step-by-step explanation:

The given scenario says that Javier claimed that pressing the button 5 times would be enough to fulfill the customer's request. So, lets check that.

We will start at 8 inches.

Press once, [tex]8-0.12*8=7.04[/tex] inches.

Pressing again, we get [tex]7.04-.12*7.04=6.1952[/tex] inches.

Again pressing we get [tex]6.1952-.12*6.1952 = 5.451776[/tex] inches.

Again we get [tex]5.451776-.12*5.451776 =4.79756288[/tex] inches.

Again we get [tex]4.79756288-.12*4.79756288= 4.221855334[/tex] inches.

We can clearly see here that pressing 4 or 5 times does not get 4.5 inches exactly as claimed by Javier.

Therefore, Javier claim is not right and his boss is right.

Answer:

Javier should not press the button five time.

Step-by-step explanation:

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